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Finding the Third Proportional to 176,198 and 251,175

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Solution

The third proportional to 176,198 and 251,175 is: 358,056.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,198 : 251,175 = 251,175 : x
  2. Step 2: Convert to fraction form
    176,198/251,175 = 251,175/x
  3. Step 3: Cross multiply
    176,198x = 251,175 × 251,175
  4. Step 4: Simplify right side
    176,198x = 63,088,880,625
  5. Step 5: Solve for x
    x = 63,088,880,625/176,198
  6. Step 6: Final answer
    x = 358,056.74

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.